Answer:
x = 8/3
Explanation:r
To solve the equation x/4 = x-2 using properties of arithmetic, we can follow these steps: Multiply both sides of the equation by 4 to eliminate the denominator:
(x/4) * 4 = (x-2) * 4
This gives us x = 4(x-2) since 4/4 cancels out.
Next, we apply the distributive property by multiplying 4 with each term inside the parentheses: x = 4x - 8
Now, we want to isolate the variable x on one side of the equation. To do this, we can use the additive property to move the term with x to the other side of the equation: x - 4x = -8
Simplifying the left side, we have -3x = -8.
Finally, we can solve for x by dividing both sides of the equation by -3:
(-3x)/(-3) = (-8)/(-3)
This simplifies to x = 8/3. Therefore, the solution to the equation x/4 = x-2 using the properties of arithmetic is x = 8/3.